Search a number
-
+
2120302305 = 3351117471787
BaseRepresentation
bin111111001100001…
…0011111011100001
312110202201111222000
41332120103323201
513320244133210
6550221234213
7103354162242
oct17630237341
95422644860
102120302305
11998945560
124b2102969
1327a378a64
14161852cc9
15c6227ac0
hex7e613ee1

2120302305 has 128 divisors (see below), whose sum is σ = 4449116160. Its totient is φ = 946437120.

The previous prime is 2120302291. The next prime is 2120302343. The reversal of 2120302305 is 5032030212.

It is not a de Polignac number, because 2120302305 - 25 = 2120302273 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1185622 + ... + 1187408.

It is an arithmetic number, because the mean of its divisors is an integer number (34758720).

Almost surely, 22120302305 is an apocalyptic number.

It is an amenable number.

2120302305 is an abundant number, since it is smaller than the sum of its proper divisors (2328813855).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2120302305 is a wasteful number, since it uses less digits than its factorization.

2120302305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2120302305 is about 46046.7404383850. The cubic root of 2120302305 is about 1284.6927162212.

Adding to 2120302305 its reverse (5032030212), we get a palindrome (7152332517).

The spelling of 2120302305 in words is "two billion, one hundred twenty million, three hundred two thousand, three hundred five".

Divisors: 1 3 5 9 11 15 17 27 33 45 47 51 55 85 99 135 141 153 165 187 235 255 297 423 459 495 517 561 705 765 799 935 1269 1485 1551 1683 1787 2115 2295 2397 2585 2805 3995 4653 5049 5361 6345 7191 7755 8415 8789 8935 11985 13959 16083 19657 21573 23265 25245 26367 26805 30379 35955 43945 48249 58971 69795 79101 80415 83989 91137 98285 107865 131835 151895 176913 237303 241245 251967 273411 294855 334169 395505 419945 455685 530739 755901 820233 884565 923879 1002507 1186515 1259835 1367055 1427813 1670845 2267703 2653695 2771637 3007521 3779505 4101165 4283439 4619395 5012535 7139065 8314911 9022563 11338515 12850317 13858185 15037605 15705943 21417195 24944733 38550951 41574555 45112815 47117829 64251585 78529715 124723665 141353487 192754755 235589145 424060461 706767435 2120302305